Students have already had experience with patterns of numbers when studying linear, ...
Students have already had experience with patterns of numbers when studying linear, quadratic, and exponential functions in both Algebra 1 and Algebra 2. This is their first introduction to the formal notation used for sequences and summation notation for series. Students will explore series and summation notation. Arithmetic sequences and series, including finding common differences, terms, and partial sums will be examined in this unit. Students will also learn about geometric sequences and series, including finding common ratios, terms, partial sums, and infinite sums. Students will also explore how to write numbers with repeating decimals as fractions in simplest form using infinite geometric series and common ratio concepts.
This lesson unit is intended to help teachers assess how well students ...
This lesson unit is intended to help teachers assess how well students are able to create and solve linear equations. In particular, the lesson will help you identify and help students who have the following difficulties: solving equations with one variable and solving linear equations in more than one way.
This lesson unit is intended to help teachers assess how well students ...
This lesson unit is intended to help teachers assess how well students are able to classify solutions to a pair of linear equations by considering their graphical representations. In particular, this unit aims to help teachers identify and assist students who have difficulties in: using substitution to complete a table of values for a linear equation; identifying a linear equation from a given table of values; and graphing and solving linear equations.
This lesson unit is intended to help teachers assess how well students ...
This lesson unit is intended to help teachers assess how well students are able to interpret exponential and linear functions and in particular to identify and help students who have the following difficulties: translating between descriptive, algebraic and tabular data, and graphical representation of the functions; recognizing how, and why, a quantity changes per unit intervale; and to achieve these goals students work on simple and compound interest problems.
Ana Donevska Todorova Humboldt Universitﾊt zu Berlin Mathematisch-Naturwissenschaftliche Fakultﾊt II Institut fﾟr ...
Ana Donevska Todorova Humboldt Universitﾊt zu Berlin Mathematisch-Naturwissenschaftliche Fakultﾊt II Institut fﾟr Mathematik, Didaktik der Mathematik ??? ?????????? ?????? ???????? ?? ???????????? ????? ? ????
This lesson unit is intended to help assess how well students are ...
This lesson unit is intended to help assess how well students are able to interpret and use scale drawings to plan a garden layout. This involves using proportional reasoning and metric units.
EXERCISING IN SPACE Algebra 1 Key Topic: Slope, linear equations, direct variation, ...
EXERCISING IN SPACE
Algebra 1
Key Topic: Slope, linear equations, direct variation, independent and dependent variables, different representations of a function
Students will identify a direct variation, solve linear equations, and create tables based on the exercise equipment provided for astronauts on long duration missions on the International Space Station (ISS) in order to maintain their fitness to perform mission objectives and to return to Earth without serious health complications.
Students will identify direct variation from ordered pairs by calculating the constant of variation; calculate slope from two points using the slope formula; determine independent and dependent variables; solve linear equations; and create tables.
Prerequisites: Students should have prior knowledge of direct variation, the constant of variation, linear functions, different representations of a linear function, the properties of a linear function, calculating slope, and solving linear equations.
Learn about graphing polynomials. The shape of the curve changes as the ...
Learn about graphing polynomials. The shape of the curve changes as the constants are adjusted. View the curves for the individual terms (e.g. y=bx ) to see how they add to generate the polynomial curve.
A Constructed Response Item provided by Smarter Balanced as preliminary examples of ...
A Constructed Response Item provided by Smarter Balanced as preliminary examples of the types of items that students might encounter on the summative assessment. The item prompt students to produce a text or numerical response in order to collect evidence about their knowledge or understanding of writing a function defined by an expression in different but equivalent forms to reveal and explain different properties of a LINEAR function. MAT.HS.CR.1.00FIF.M.274
This lesson unit is intended to help teachers assess how well students ...
This lesson unit is intended to help teachers assess how well students are able to understand what the different algebraic forms of a quadratic function reveal about the properties of its graphical representation. In particular, the lesson will help teachers identify and help students who have the following difficulties: understanding how the factored form of the function can identify a graphŐs roots; understanding how the completed square form of the function can identify a graphŐs maximum or minimum point; and understanding how the standard form of the function can identify a graphŐs intercept.
This lesson unit is intended to help teachers assess how well students ...
This lesson unit is intended to help teachers assess how well students are able to identify linear and quadratic relationships in a realistic context: the number of tiles of different types that are needed for a range of square tabletops. In particular, this unit aims to identify and help students who have difficulties with: choosing an appropriate, systematic way to collect and organize data; examining the data and looking for patterns; finding invariance and covariance in the numbers of different types of tile; generalizing using numerical, geometrical or algebraic structure; and describing and explaining findings clearly and effectively.
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